How is my credit score effected?

I want to buy a new car and I am wondering how my credit score is effected by shopping around for the best interest rate. Can it be checked multiple times in a short period of time like a week or no? I have no debt so how would it be effected? I’m stressing out cuz I dont want to apply for a loan at different places if it lowers your credit score and makes me look bad.
Is 15 points a big deal?

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